Gene Regulatory Network 2D — Repressilator & Toggle Switch

Circuit

Network type Synthesis rate β 10 Decay rate γ 1.0 Hill coefficient n 2.0 Threshold K 5.0

CircuitRepressilator

Behaviour—

Levels (A/B/C)—

Osc. period—

Switch state—

Each gene's protein obeys dP/dt = β·H(regulator) − γ·P, with Hill activation H = Xⁿ/(Kⁿ+Xⁿ) and repression H = Kⁿ/(Kⁿ+Xⁿ). The repressilator is a 3-gene ring (A⊣B⊣C⊣A) of repressors that oscillates; the toggle switch is two mutually repressing genes (A⊣B, B⊣A) with two stable steady states. Higher n sharpens the switching threshold and favours both oscillation and bistability.

🧬 Gene Regulatory Network — 2D

Network diagram

Protein concentration vs time